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// MatrixTest.cs, 07.11.2019
// Copyright (C) Dominic Beger 07.11.2019
using System.Diagnostics;
using Microsoft.VisualStudio.TestTools.UnitTesting;
using SharpMath.Geometry;
namespace SharpMath.Tests
{
[TestClass]
public class MatrixTest
{
[TestMethod]
public void CanCalculateDeterminant()
{
var firstMatrix = new Matrix1x1 {[0, 0] = 2};
Assert.AreEqual(2, firstMatrix.Determinant);
var secondMatrix = new Matrix2x2
{
[0, 0] = 8,
[0, 1] = 3,
[1, 0] = 4,
[1, 1] = 2
};
Assert.AreEqual(4, secondMatrix.Determinant);
var thirdMatrix = new Matrix3x3
{
[0, 0] = 2,
[0, 1] = 5,
[0, 2] = 2,
[1, 0] = 3,
[1, 1] = -3,
[1, 2] = 1,
[2, 0] = 1,
[2, 1] = 4,
[2, 2] = -4
};
Assert.AreEqual(111, thirdMatrix.Determinant);
var fourthMatrix = new Matrix3x3
{
[0, 0] = -4,
[0, 1] = 2.5,
[0, 2] = 3,
[1, 0] = 5,
[1, 1] = 6,
[1, 2] = 4,
[2, 0] = 9,
[2, 1] = 10,
[2, 2] = -9
};
Assert.AreEqual(566.5, fourthMatrix.Determinant);
var fifthMatrix = new Matrix4x4
{
[0, 0] = 1,
[0, 1] = 0,
[0, 2] = 0,
[0, 3] = 1,
[1, 0] = 1,
[1, 1] = 2,
[1, 2] = 3,
[1, 3] = 2,
[2, 0] = 2,
[2, 1] = 3,
[2, 2] = 4,
[2, 3] = 0,
[3, 0] = 1,
[3, 1] = 2,
[3, 2] = -1,
[3, 3] = -2
};
Assert.AreEqual(-24, fifthMatrix.Determinant);
}
[TestMethod]
public void CanDetermineIfMatrixIsDiagonal()
{
var matrix = new Matrix3x3
{
M11 = 1,
M22 = 1,
M33 = 1
};
Assert.IsTrue(matrix.IsDiagonal);
var secondMatrix = new Matrix4x4
{
M11 = 1,
M22 = 1,
M33 = 1,
M44 = 1
};
Assert.IsTrue(secondMatrix.IsDiagonal);
var thirdMatrix = new Matrix4x4
{
M11 = 1,
M22 = 1,
M33 = 1,
M44 = 1,
M14 = 1
};
Assert.IsFalse(thirdMatrix.IsDiagonal);
var fourthMatrix = new Matrix4x4
{
M11 = 1,
M22 = 1,
M33 = 1
};
Assert.IsFalse(fourthMatrix.IsDiagonal);
}
[TestMethod]
public void CanDetermineIfMatrixIsTriangle()
{
var matrix = new Matrix3x3
{
M11 = 1,
M22 = 2,
M33 = 3,
M12 = 3,
M13 = 4,
M23 = 7
};
Assert.IsTrue(matrix.IsTriangle);
var secondMatrix = new Matrix4x4
{
M11 = 1,
M22 = 2,
M33 = 3,
M44 = 8,
M12 = 3,
M13 = 4,
M14 = 7,
M23 = 2,
M24 = 3,
M34 = 9
};
Assert.IsTrue(secondMatrix.IsTriangle);
var thirdMatrix = new Matrix4x4
{
M11 = 5,
M22 = 7,
M33 = 4,
M44 = 3,
M14 = 2,
M31 = 9
};
Assert.IsFalse(thirdMatrix.IsTriangle);
var fourthMatrix = new Matrix4x4
{
M11 = 1,
M22 = 1,
M33 = 1,
M44 = 1
};
Assert.IsTrue(fourthMatrix.IsTriangle);
}
[TestMethod]
public void CanGetStringRepresentation()
{
var matrix = Matrix4x4.View(Vector3.Zero, Vector3.Forward, Vector3.Up);
Debug.Print(matrix.ToString());
}
[TestMethod]
public void CanMultiplyMatrices()
{
var firstMatrix = new Matrix1x3();
var secondMatrix = new Matrix3x1();
firstMatrix[0, 0] = 1;
firstMatrix[0, 1] = 2;
firstMatrix[0, 2] = 3;
secondMatrix[0, 0] = 2;
secondMatrix[1, 0] = 1;
secondMatrix[2, 0] = 2;
var matrixProduct = MatrixUtils.Multiply<Matrix1x1>(firstMatrix, secondMatrix);
Assert.AreEqual(matrixProduct[0, 0], 10);
// --------------------------------
var thirdMatrix = new Matrix3x3
{
[0, 0] = 2,
[0, 1] = 5,
[0, 2] = 2,
[1, 0] = 3,
[1, 1] = -3,
[1, 2] = 1,
[2, 0] = 1,
[2, 1] = 4,
[2, 2] = -4
};
var fourthMatrix = new Matrix3x3
{
[0, 0] = -4,
[0, 1] = 2.5,
[0, 2] = 3,
[1, 0] = 5,
[1, 1] = 6,
[1, 2] = 4,
[2, 0] = 9,
[2, 1] = 10,
[2, 2] = -9
};
/*
35.000 55.000 8.000
-18.000 -0.500 -12.000
-20.000 -13.500 55.000
*/
var resultMatrix = new Matrix3x3
{
[0, 0] = 35,
[0, 1] = 55,
[0, 2] = 8,
[1, 0] = -18,
[1, 1] = -0.5,
[1, 2] = -12,
[2, 0] = -20,
[2, 1] = -13.5,
[2, 2] = 55
};
Assert.AreEqual(resultMatrix, MatrixUtils.Multiply<Matrix3x3>(thirdMatrix, fourthMatrix));
}
[TestMethod]
public void CanMultiplyMatrix3X3WithVector2()
{
var translation = Matrix3x3.Translation(10, 10);
var transformed = translation * Vector2.One;
var result = new Vector2(11, 11);
Assert.AreEqual(result, transformed);
}
// TODO: Implement
//[TestMethod]
//public void CanGetCore()
//{
// var matrix = new Matrix3x3
// {
// M11 = 3,
// M12 = -1,
// M13 = 4,
// M21 = 0,
// M22 = 1,
// M23 = 5,
// };
// Assert.AreEqual(new Vector3(-3, -5, 1), matrix.GetCore<Vector3>());
//}
}
}